正交各向异性功能梯度材料裂纹扩展的自适应相场模型
Adaptive phase field modelling of crack propagation in orthotropic functionally graded materials
摘要：
在这项工作中，我们扩展了最近提出的自适应相场法模拟正交各向异性功能梯度材料（FGMs）的断裂。一个恢复型误差指示器结合四叉树分解用于自适应网格加密。所提出的方法是能够捕捉断裂过程与局部网格细化，提供了显着的增益计算效率。实验数据和其他数值实验正交各向异性材料与不同的材料取向的实施进行了验证。结果表明，随着材料取向角的增加，刚度和最大力增加。然后将研究扩展到正交各向异性功能梯度材料的分析。据观察，如果忽略断裂性能的分级，材料梯度起次要作用，断裂行为由材料的正交各向异性主导。然而，当韧性沿裂纹扩展路径增加时，观察到抗断裂性的大幅增加。
英文摘要：
In this work, we extend the recently proposed adaptive phase field method to model fracture in orthotropic functionally graded materials (FGMs). A recovery type error indicator combined with quadtree decomposition is employed for adaptive mesh refinement. The proposed approach is capable of capturing the fracture process with a localized mesh refinement that provides notable gains in computational efficiency. The implementation is validated against experimental data and other numerical experiments on orthotropic materials with different material orientations. The results reveal an increase in the stiffness and the maximum force with increasing material orientation angle. The study is then extended to the analysis of orthotropic FGMs. It is observed that, if the gradation in fracture properties is neglected, the material gradient plays a secondary role, with the fracture behaviour being dominated by the orthotropy of the material. However, when the toughness increases along the crack propagation path, a substantial gain in fracture resistance is observed.
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